The 25-year-old has been linked with a move to Liverpool in recent days.
“The situation as it is right now is that Aquilani will remain until there is a squad that makes an offer,” Conti said to Mediaset.
“Once this happens then we will see.”
“We need to be open and listen to any type of offers that are proposed to us,” Roma coach Luciano Spalletti added.
“We are not worried, we know what we need to do.
“There will probably be two or three transfer market deals done and I am convinced we will be able to work well.”